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Finding the Fourth Proportional to 381,031.44, 571,440.55 and 114,753.26

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Solution

The fourth proportional to 381,031.44, 571,440.55 and 114,753.26 is: 172,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,031.44 : 571,440.55 = 114,753.26 : x
  2. Step 2: Convert to fraction form
    381,031.44/571,440.55 = 114,753.26/x
  3. Step 3: Cross multiply
    381,031.44x = 571,440.55 × 114,753.26
  4. Step 4: Simplify right side
    381,031.44x = 65,574,663,828.48
  5. Step 5: Solve for x
    x = 65,574,663,828.48/381,031.44
  6. Step 6: Final answer
    x = 172,097.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.